Geometry Dilations & Similar Figures

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape. It is defined by a center point and a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

How do you find the area of a parallelogram?

Back

The area of a parallelogram can be found using the formula: Area = base × height.

Front

What is the relationship between similar figures?

Back

Similar figures have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid can be calculated using the formula: Area = (1/2) × (base1 + base2) × height.

Front

What does it mean for line segments to be congruent?

Back

Congruent line segments have the same length.

Front

If two triangles are similar, how do you find the length of a side in one triangle if you know the corresponding side in the other triangle?

Back

Use the ratio of the lengths of corresponding sides to set up a proportion and solve for the unknown length.

Front

What is the significance of the center of dilation?

Back

The center of dilation is the fixed point in a dilation transformation from which all points are expanded or contracted.

Front

How do you calculate the area of a figure after dilation?

Back

To find the area of a figure after dilation, multiply the original area by the square of the scale factor.